Arabian Journal for Science and Engineering

, Volume 44, Issue 2, pp 1255–1267 | Cite as

Thermodynamic Analysis of MHD Heat and Mass Transfer of Nanofluids Past a Static Wedge with Navier Slip and Convective Boundary Conditions

  • Iskander Tlili
  • Nawaf N. HamadnehEmail author
  • Waqar A. Khan
Research Article - Mechanical Engineering


Due to its industrial applications in last 2 decades, in this study, the second law of thermodynamics is applied to MHD flow of water-based nanofluids past a static wedge. The Buongiorno model with Navier slip and convective boundary conditions is employed; in addition, the effects of Brownian motion and thermophoresis have been included. An attempt has been made to focus on the effects of magnetic field, Navier slip and convective heat of nanofluid flow over a wedge. Using similarity transformations, the governing partial differential equations are reduced to ordinary differential equations which are solved by using the spectral quasi-linearization method. The numerical solution for the dimensionless temperature, velocity and concentration gradients is performed to investigate the variation of dimensionless entropy generation due to fluid flow, thermal gradient, mass and combined impact of heat and mass transfer past a static wedge. The effects of magnetic field, Navier slip, convective heat and mass boundary conditions on the forced convection of nanofluid over a wedge are investigated. Original results observed show that the total dimensionless entropy generation rate increases significantly with local Reynolds number, Prandtl number and thermophoresis parameters.


MHD Nanofluids Wedge Entropy generation Irreversibility ratio Bejan number 

List of symbols


Bejan number


Concentration (mol \(\hbox {m}^{-3}\))

\(C_\infty \)

Ambient concentration (mol \(\hbox {m}^{-3}\))


Constant pressure specific heat (J \(\hbox {kg}^{-1}\)\(\hbox {K}^{-1}\))


Brownian diffusion coefficient (\(\hbox {m}^{2}\)\(\hbox {s}^{-1}\))


Thermophoretic diffusion coefficient


Thermal conductivity (W \(\hbox {m}^{-1}\)\(\hbox {K}^{-1}\))

\(M_1 \)

Dimensionless mass transfer parameter

\(M_2 \)

Dimensionless combined heat and mass transfer parameter


Brownian motion parameter


Thermophoresis parameter

\(Ns_\mathrm{c} \)

Local dimensionless entropy generation due to heat transfer in axial direction


Local dimensionless entropy generation due to fluid friction


Local dimensionless entropy generation due to heat transfer


Local dimensionless entropy generation due to magnetic field


Local dimensionless entropy generation due to combined heat and mass transfer


Local dimensionless entropy generation due to mass transfer

\(Ns_x \)

Local dimensionless total entropy generation rate


Prandtl number


Gas constant (J \(\hbox {mol}^{-1}\)\(\hbox {K}^{-1}\))


Local Reynolds number based on free stream velocity

\({{\dot{S}}}'''_{\mathrm{gen}} \)

Entropy generation rate per unit volume (\(\hbox {W m}^{-3} \hbox {K}^{-1}\))


Schmidt number

\(T_\infty \)

Ambient temperature (K)

\(U_{\infty }\)

free stream velocity (m \(\hbox {s}^{-1}\))


Velocity components along x- and y-directions


Distance along the wedge (m)

\(\mu \)

Absolute viscosity (N s \(\hbox {m}^{-2}\))


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  • Iskander Tlili
    • 1
  • Nawaf N. Hamadneh
    • 2
    Email author
  • Waqar A. Khan
    • 3
  1. 1.Energy and Thermal Systems LaboratoryNational Engineering School of MonastirMonastirTunisia
  2. 2.Department of Basic Sciences, College of Science and Theoretical StudiesSaudi Electronic UniversityRiyadhKingdom of Saudi Arabia
  3. 3.Department of Mechanical Engineering, College of EngineeringPrince Mohammad Bin Fahd UniversityAl KhobarKingdom of Saudi Arabia

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